Brauer groups and obstruction problems: moduli spaces and arithmetic

Original Announcement

This workshop will be devoted to
studying elements of the Brauer group from both an arithmetic
perspective and a Hodge-theoretic and derived categorical perspective.

Elements of the Brauer group arise in the theory of obstructions to
the existence of rational points on varieties and to the existence of
universal objects of moduli spaces of stable sheaves. The goal of
this workshop is to bring together researchers in number theory,
complex algebraic geometry, derived categories, and Hodge theory to
study connections between these perspectives on Brauer group elements.